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topology    
n. 地志学,拓扑数学,局部解剖学

地志学,拓扑数学,局部解剖学

topology
拓扑

topology
拓扑学 布局

topology
n 1: topographic study of a given place (especially the history
of the place as indicated by its topography); "Greenland's
topology has been shaped by the glaciers of the ice age"
2: the study of anatomy based on regions or divisions of the
body and emphasizing the relations between various structures
(muscles and nerves and arteries etc.) in that region [synonym:
{regional anatomy}, {topographic anatomy}, {topology}]
3: the branch of pure mathematics that deals only with the
properties of a figure X that hold for every figure into
which X can be transformed with a one-to-one correspondence
that is continuous in both directions [synonym: {topology},
{analysis situs}]
4: the configuration of a communication network [synonym:
{topology}, {network topology}]

Topology \To*pol"o*gy\, n. [Gr. ? place -logy.]
The art of, or method for, assisting the memory by
associating the thing or subject to be remembered with some
place. [R.]
[1913 Webster]

2. a branch of mathematics which studies the properties of
geometrical forms which retain their identity under
certain transformations, such as stretching or twisting,
which are homeomorphic. See also {topologist}.
[PJC]

3. configuration, especially in three dimensions; -- used, e.
g. of the configurations taken by macromolecules, such as
superhelical DNA.
[PJC]


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  • Topology - Wikipedia
    The term "topology" also refers to a specific mathematical idea central to the area of mathematics called topology Informally, a topology describes how elements of a set relate spatially to each other
  • Topology | Types, Properties Examples | Britannica
    Topology, while similar to geometry, differs from geometry in that geometrically equivalent objects often share numerically measured quantities, such as lengths or angles, while topologically equivalent objects resemble each other in a more qualitative sense
  • Types of Network Topology - GeeksforGeeks
    Network Topology is important because it defines how devices are connected and how they communicate in the network Here are some points that defines why network topology is important
  • What is Topology? | Pure Mathematics | University of Waterloo
    Topology studies properties of spaces that are invariant under any continuous deformation It is sometimes called "rubber-sheet geometry" because the objects can be stretched and contracted like rubber, but cannot be broken
  • Introduction to Topology | Mathematics | MIT OpenCourseWare
    Introduction to Topology Course Description This course introduces topology, covering topics fundamental to modern analysis and geometry
  • Topology
    Execute with Vision The greatest impact emerges when wild imagination meets calculated execution " Vision without action is a daydream Action without vision is a nightmare " Japanese Proverb Self Author Have the confidence to pursue the future state you know is within reach " The self-authoring mind can take responsibility for its own values and ideology rather than depend on others to
  • Renzo’s Math 490 Introduction to Topolo
    t is a somewhat relaxed notion of equality For example, a classic example in topology suggests that a doughnut and coffe cup are indistinguishable to a topologist This is because one of the geometric objects can be str





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